Power transformer/inductor

ABSTRACT

The present invention relates to a power transformer/inductor comprising at least one winding. The windings are designed by means of a high-voltage cable, comprising an electric conductor, and around the conductor there is arranged a first semiconducting layer, around the first semiconducting layer there is arranged an insulating layer and around the insulating layer there is arranged a second semiconducting layer. The second semiconducting layer is earthed at or in the vicinity of both ends ( 26   1   , 26   2   ; 28   1   , 28   2 ) of each winding and furthermore one point between both ends ( 26   1   , 26   2   ; 28   1   , 28   2 ) is directly earthed.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a power transformer/inductor. In all transmission and distribution of electric energy, transformers are used for enabling exchange between two or more electric systems normally having different voltage levels. Transformers are available for powers from the VA region to the 1000 MVA region. The voltage range has a spectrum of up to the highest transmission voltages used today. Electro-magnetic induction is used for energy transmission between electric systems.

Inductors are also an essential component in the transmission of electric energy in for example phase compensation and filtering.

The transformer/inductor related to the present invention belongs to the so-called power transformers/inductors having rated outputs from several hundred kVA to in excess of 1000 MVA and rated voltages of from 3–4 kV to very high transmission voltages.

2. Discussion of the Background

In general the main task of a power transformer is to enable the exchange of electric energy, between two or more electric systems of mostly differing voltages with the same frequency.

Conventional power transformers/inductors are e.g. described in the book “Elektriska Maskiner” by Fredrik Gustavson, page 3-6–3-12, published by The Royal Institute of Technology, Sweden, 1996.

A conventional power transformer/inductor includes a transformer core, referred to below as “core”, formed of laminated commonly oriented sheet, normally of silicon iron. The core is composed of a number of core legs connected by yokes. A number of windings are provided around the core legs normally referred to as primary, secondary and regulating winding. In power transformers these windings are practically always arranged in concentric configuration and distributed along the length of the core leg.

Other types of core structures occasionally occur in e.g. so-called shell transformers or in ring-core transformers. Examples related to core transformers are discussed in DE 40414. The core may be made of conventional magnetizable materials such as the oriented sheet and other magnetizable materials such as ferrites, amorphous material, wire strands or metal tape. The magnetizable core is, as known, not necessary in inductors.

The above-mentioned windings constitute one or several coils connected in series, the coils of which having a number of turns connected in series. The turns of a single coil normally make up a geometric, continuous unit which is physically separated from the remaining coils.

A conductor is known through U.S. Pat. No. 5,036,165, in which the insulation is provided with an inner and an outer layer of semiconducting pyrolized glassfiber. It is also known to provide conductors in a dynamo-electric machine with such an insulation, as described in U.S. Pat. No. 5,066,881 for instance, where a semiconducting pyrolized glassfiber layer is in contact with the two parallel rods forming the conductor, and the insulation in the stator slots is surrounded by an outer layer of semiconducting pyrolized glassfiber. The pyrolized glassfiber material is described as suitable since it retains its resistivity even after the impregnation treatment.

The insulation system on the inside of a coil/winding and between coils/windings and remaining metal parts, is normally in the form of a solid- or varnish based insulation closest to the conducting element and on the outside thereof the insulation system is in the form of a solid cellulose insulation, a fluid insulation, and possibly also an insulation in the form of gas. Windings with insulation and possible bulky parts represent in this way large volumes that will be subjected to high electric field strengths occurring in and around the active electric magnetic parts belonging to transformers. A detailed knowledge of the properties of insulation material is required in order to predetermine the dielectric field strengths which arise and to attain a dimensioning such that there is a minimal risk of electrical discharge. It is important to achieve a surrounding environment which does not change or reduce the insulation proper ties.

Today's predominant outer insulation system for conventional high voltage power transformers/inductors are made of cellulose material as the solid insulation and transformer oil as the fluid insulation. Transformer oil is based on so-called mineral oil.

Conventional insulation systems are e.g. described in the book “Elektriska Maskiner” by Fredrik Gustavson, page 3-9–3-11, published by The Royal Institute of Technology, Sweden, 1996.

Conventional insulation systems are relatively complicated to construct and additionally, special measures need to be taken during manufacture in order to utilize good insulation properties of the insulation system. The system must have a low moisture content and the solid phase in the insulation system needs to be well impregnated with the surrounding oil so that there is minimal risk of gas pockets. During manufacture a special drying process is carried out on the complete core with windings before it is lowered into the tank. After lowering the core and sealing the tank, the tank is emptied of all air by a special vacuum treatment before being filled with oil. This process is relatively time-consuming seen from the entire manufacturing process in addition to the extensive utilization of resources in the workshop.

The tank surrounding the transformer must be constructed in such a way that it is able to withstand full vacuum since the process requires that all the gas be pumped out to almost absolute vacuum which involves extra material consumption and manufacturing time.

Furthermore the installation requires vacuum treatment to be repeated each time the transformer is opened for inspection.

SUMMARY OF THE INVENTION

According to the present invention the power transformer/inductor includes at least one winding in most cases arranged around a magnetizable core which may be of different geometries. The term “windings” will be referred to below in order to simplify the following specification. The windings are composed of a high voltage cable with solid insulation. The cables have at least one centrally situated electric conductor. Around the conductor there is arranged a first semi-conducting layer, around the semi-conducting layer there is arranged a solid insulating layer and around the solid insulating layer there is arranged a second external semi-conducting layer.

The use of such a cable implies that those regions of a transformer/inductor which are subjected to high electric stress are confined to the solid insulation of the cable. Remaining parts of the transformer/inductor, with respect to high voltage, are only subjected to very moderate electric field strengths. Furthermore, the use of such a cable eliminates several problem areas described under the background of the invention. Consequently a tank is not needed for insulation and coolant. The insulation as a whole also becomes substantially simple. The time of construction is considerably shorter compared to that of a conventional power transformer/inductor. The windings may be manufactured separately and the power transformer/inductor may be assembled on site.

However, the use of such a cable presents new problems which must be solved. The second semi-conducting layer must be directly earthed in or in the vicinity of both ends of the cable so that the electric stress which arises, both during normal operating voltage and during transient progress, will primarily load only the solid insulation of the cable. The semi-conducting layer and these direct earthings form together a closed circuit in which a current is induced during operation. The resistivity of the layer must be high enough so that resistive losses arising in the layer are negligible.

Besides this magnetic induced current, a capacitive current is to flow into the layer through both directly earthed ends of the cable. If the resistivity of the layer is too great, the capacitive current will become so limited that the potential in parts of the layer, during a period of alternating stress, may differ to such an extent from earth potential that regions of the power transformer/inductor other than the solid insulation of the windings will be subjected to electric stress. By directly earthing several points of the semiconducting layer, preferably one point per turn of the winding, the whole outer layer resting at earth potential and the elimination of the above-mentioned problems is ensured if the conductivity of the layer is high enough.

This one point earthing per turn of the outer layer is performed in such a way that the earth points rest on a generatrix to a winding and that points along the axial length of the winding are electrically directly connected to a conducting earth track which is connected thereafter to the common earth potential.

In order to keep the losses in the outer layer as low as possible, it may be desirable to have such a high resistivity in the outer layer that several earth points per turn are required. This is possible according to a special earthing process in accordance with the invention.

Thus, in a power transformer/inductor according to the invention the second semiconducting layer is earthed at or in the vicinity of both ends of each winding and furthermore one point between both ends is directly earthed.

In a power transformer/inductor according to the invention the windings are preferably composed of cables having solid, extruded insulation, of a type now used for power distribution, such as XLPE-cables or cables with EPR-insulation. Such cables are flexible, which is an important property in this context since the technology for the device according to the invention is based primarily on winding systems in which the winding is formed from cable which is bent during assembly. The flexibility of a XLPE-cable normally corresponds to a radius of curvature of approximately 20 cm for a cable 30 mm in diameter, and a radius of curvature of approximately 65 cm for a cable 80 mm in diameter. In the present application the term “flexible” is used to indicate that the winding is flexible down to a radius of curvature in the order of four times the cable diameter, preferably eight to twelve times the cable diameter.

Windings in the present invention are constructed to retain their properties even when they are bent and when they are subjected to thermal stress during operation. It is vital that the layers of the cable retain their adhesion to each other in this context. The material properties of the layers are decisive here, particularly their elasticity and relative coefficients of thermal expansion. In a XPE-cable, for instance, the insulating layer is made of cross-linked, low-density polyethylene, and the semiconducting layers are made of polyethylene with soot and metal particles mixed in. Changes in volume as a result of temperature fluctuations are completely absorbed as changes in radius in the cable and, thanks to the comparatively slight difference between the coefficients of thermal expansion in the layers in relation to the elasticity of these materials, the radial expansion can take place without the adhesion between the layers being lost.

The material combinations stated above should be considered only as examples. Other combinations fulfilling the conditions specified and also the condition of being semiconducting, i.e. having resistivity within the range of 10⁻¹–10⁶ ohm-cm, e.g. 1–500 ohm-cm, or 10–200 ohm-cm, naturally also fall within the scope of the invention.

The insulating layer may be made, for example, of a solid 5 thermoplastic material such as low-density polyethylene (LDPE), high-density polyethylene (HDPE), polypropylene (PP), polybutylene (PB), polymethyl pentene (PMP), crosslinked materials such as cross-linked polyethylene (XLPE), or rubber such as ethylene propylene rubber (EPR) or silicon rubber.

The inner and outer semiconducting layers may be of the same basic material but with particles of conducting material such as soot or metal powder mixed in.

The mechanical properties of these materials, particularly their coefficients of thermal expansion, are affected relatively little by whether soot or metal powder is mixed in or not-at least in the proportions required to achieve the conductivity necessary according to the invention. The insulating layer and the semiconducting layers thus have substantially the same coefficients of thermal expansion.

Ethylene-vinyl-acetate copolymers/nitrile rubber, butyl graft polyethylene, ethylene-butyl-acrylate-copolymers and ethylene-ethyl-acrylate copolymers may also constitute suitable polymers for the semiconducting layers.

Even when different types of material are used as a base in the various layers, it is desirable for their coefficients of thermal expansion to be substantially the same. This is the case with combination of the materials listed above.

The materials listed above have relatively good elasticity, with an E-modulus of E<500 MPa, preferably <200 MPa. The elasticity is sufficient for any minor differences between the coefficients of thermal expansion for the materials in the layers to be absorbed in the radial direction of the elasticity so that no cracks or other damage appear and so that the layers are not released from each other. The material in the layers is elastic, and the adhesion between the layers is at least of the same magnitude as the weakest of the materials.

The conductivity of the two semiconducting layers is sufficient to substantially equalize the potential along each layer. The conductivity of the outer semiconducting layer is sufficiently large to contain the electrical field in the cable, but sufficiently small not to give rise to significant losses due to currents induced in the longitudinal direction of the layer.

Thus, each of the two semiconducting layers essentially constitutes one equipotential surface, and these layers will substantially enclose the electrical field between them.

There is, of course, nothing to prevent one or more additional semiconducting layers being arranged in the insulating layer.

The invention will now be described in more detail in the following description of preferred embodiments with reference to the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a cross-sectional view of a high-voltage cable;

FIG. 2 shows a perspective view of windings with one earthing point per winding turn;

FIG. 3 shows a perspective view of windings with two earthing points per winding turn according to a first embodiment of the present invention;

FIG. 4 shows a perspective view of windings with three earthing points per winding turn according to a second embodiment of the present invention;

FIGS. 5 a and 5 b respectively, show a perspective view and a side view respectively of a winding, on an outer leg of a three phase transformer with three legs, with three earthing points per winding turn according to a third embodiment of the present invention; and

FIGS. 6 a and 6 b respectively, show a perspective view and a side view respectively of a winding, on a central leg of a three phase transformer with three or more legs, with three earthing points per winding turn according to a fourth embodiment of the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

FIG. 1 shows a cross-sectional view of a high voltage cable which is used traditionally for the transmission of electric energy. The shown high voltage cable may for example be a standard XLPE cable 145 kV but without mantle and screen. The high voltage cable 10 includes an electric conductor, which may have one or several strands 12 with circular cross-section of for example copper (Cu). These strands 12 are arranged in the center of the high voltage cable 10. Around the strands 12 there is arranged a first semi conducting layer 14. Around the first semi conducting layer 14 there is arranged a first insulating layer 16, for example XLPE insulation. Around the first insulating 16 there is arranged a second semi conducting layer 18. The high voltage cable 10, shown in FIG. 1, is built with a conductor area of between 80 and 3000 mm₂ and an outer cable diameter of between 20 and 250 mm.

FIG. 2 shows a perspective view of windings with one earthing point per winding turn. FIG. 2 shows a core leg designated by the numeral 20 within a power transformer or inductor. Two windings 22 ₁ and 22 ₂ are arranged around the core leg 20 which are formed from the high-voltage cable (10) shown in FIG. 1. With the aim of fixing windings 22 ₁ and 22 ₂ there are, in this case, four radially arranged spacer members 24 ₁, 24 ₂, 24 ₃, 24 ₄ per winding turn. As shown in FIG. 2 the outer semi conducting layer is earthed at both ends 26 ₁, 26 ₂, 28 ₁, 28 ₂ of each winding 22 ₁, 22 ₂. Spacer member 24 ₁, which is emphasized in black, is utilized to achieve one earthing point per winding turn. The spacer member 24 ₁ is directly connected to one earthing element 30 ₁, i.e. in the form of an earthing track 30 ₁, which is connected 32 to the common earth potential at the periphery of the winding 22 ₂ and along the axial length of the winding 22 ₂. As shown in FIG. 2 the earthing points rest (one point per winding turn) on a generatrix to a winding.

FIG. 3 shows a perspective view of windings with two earthing points per winding turn according to a first embodiment of the present invention. In FIGS. 2 and 3 the same parts are designated by the same numerals in order to make the Figures more clear. Also in this case the two windings 22 ₁ and 22 ₂, formed from the high-voltage cable 10 shown in FIG. 1, are arranged around the core leg 20. Spacer member 24 ₁, 24 ₂, 24 ₃, 24 ₄ are also in this case radially arranged with the aim of fixing the windings 22 ₁ and 22 ₂. At both ends 26 ₁, 26 ₂, 28 ₁, 28 ₂ of each winding 22 ₁ and 22 ₂ the second semiconducting layer (compare with FIG. 1) is earthed in accordance with FIG. 2. Spacer members 24 ₁, 24 ₃, which are marked in black, are used in order to achieve two earthing points per winding turn. Spacer member 24 ₁ is directly connected to a first earthing element 30 ₁ and spacer member 24 ₃ is directly connected to a second earthing element 30 ₂ at the periphery of the winding 22 ₂ and along the axial length of the winding 22 ₂. Earthing elements 30 ₁ and 30 ₂ may be in the form of earthing tracks 30 ₁ and 30 ₂ which are connected to the common earth potential 32. Both earthing elements 30 ₁, 30 ₂ are coupled by way of an electric connection 34 ₁ (cable). The electric connection 34 ₁ is drawn into one slot 36 ₁ arranged in the core leg 20. The slot 36 is arranged such that the cross-section area A1 of the core leg 20 (and thereby the magnetic flow Φ) is divided into two partial areas A1, A2. Accordingly, the slot 361 divides the 20 core leg 20 into two parts, 20 ₁, 20 ₂. This entails that currents are not magnetically induced in connection with earthing tracks. By earthing in the above-mentioned way the losses in the second semiconducting layer are kept to a minimum.

FIG. 4 shows a perspective view of windings with three earthing points per winding turn according to a second embodiment of the present invention. In FIGS. 2–4 the same parts are designated by the same numerals in order to make the Figures more clear. Also here two windings 22 ₁ and 22 ₂, formed from the high-voltage cable 10 shown in FIG. 1, are arranged around the core leg 20. Spacer members 24 ₁, 24 ₂, 24 ₃, 24 ₄, 24 ₅, 24 ₆, are also radially arranged with the aim of fixing windings 22 ₁ and 22 ₂. As shown in FIG. 4 there are 6 spacer members per winding turn. At both ends 26 ₁, 26 ₂; 28 ₁, 28 ₂ of each winding 22 ₁, 22 ₂ the outer semiconducting layer (compare with FIG. 1) is earthed as in accordance with FIGS. 2 and 3. Spacer members 24 ₁, 24 ₃, 24 ₅ which are marked in black are used to achieve three earthing points per winding turn. These spacer members 24 ₁, 24 ₃, 24 ₅ are accordingly connected to the second semiconducting layer of the high power cable 10. Spacer member 24 ₁ is directly connected to a first earthing element 30 ₁ and spacer member 24 ₃ is directly connected to a second earthing element 30 ₂ and spacer member 24 ₅ is directly connected to a third earthing element 30 ₃ at the periphery of the winding 22 ₂ and along the axial length of the winding 22 ₂. Earthing elements 30 ₁, 30 ₂, 30 ₃, may be in the form of earthing tracks 30 ₁, 30 ₂, 30 ₃ which are connected to the common earth potential 32. All three earthing elements 30 ₁, 30 ₂, 30 ₃ are joined by way of two electric connections 34 ₁, 34 ₂ (cables). The electric connection 34 ₁ is drawn into a first slot 36 ₁ arranged in the core leg 20 and is connected to earthing elements 30 ₂ and 30 ₃. The electric connection 34 ₂ is drawn into second slot 36 ₂ arranged in the core leg 20. Slots 36 ₁, 36 ₂ are arranged such that the cross-section area A, of the core leg 20 (and thereby the magnetic flow Φ) are divided into three partial areas A₁, A₂, A₃. Accordingly slots 36 ₁, 36 ₂ divide the core leg 20 into three parts 20 ₁, 20 ₂, 20 ₃. This entails that currents are not magnetically induced in connection with earthing tracks. By earthing in the above-mentioned way losses in the second semiconducting layer are kept to a minimum.

FIGS. 5 a and 5 b respectively, show a perspective view respectively and a sectional view of a winding on an outer leg of a three phase transformer with three legs with three earthing points per winding turn according to a third embodiment of the present invention. In FIGS. 2–5 the same parts are designated the same numerals in order to make the Figures more clear. A winding 22 ₁, formed from the high-voltage cable 10 shown in FIG. 1, is arranged around the outer leg 20 of the transformer. Additionally in this case spacer members 24 ₁, 24 ₂, 24 ₃, 24 ₄, 24 ₅, 25 ₆ are arranged radially with the aim of fixing the winding 22 ₁. At both ends of the winding 22 ₂ the second semiconducting layer (compare with FIG. 1) is earthed (not shown in FIGS. 5 a and 5 b respectively). Spacer members 24 ₁, 24 ₃, 24 ₅, which are marked in black, are used to achieve three earthing points per winding turn. Spacer member 24 ₁ is directly connected to a first earthing element 30 ₁, spacer member 24 ₃ is directly connected to a second earthing element (not shown) and spacer member 24 ₅ is directly connected to a third earthing element 30 ₃ at the periphery of the winding 22 ₁ and along the axial length of the winding 22 ₁. Earthing elements 30 ₁–30 ₃ may be in the form of earthing tracks which are connected to the common earth potential (not shown). The three earthing elements 30 ₁–30 ₃ are joined by way of two electric connections 34 ₁, 34 ₂ (cables). The two electric connections 34 ₁, 34 ₂ are drawn in two slots 36 ₁, 36 ₂, arranged in a yoke 38 connecting the three earthing elements 30 ₁–30 ₃ to each other. The two slots 36 ₁, 36 ₂ are arranged such that the cross-section area A of the yoke 38, (and thereby the magnetic flux Φ) is divided into three partial areas A₁, A₂, A₃. The electric connections 34 ₁, 34 ₂ are threaded through the two slots 36 ₁, 36 ₂ and over the front and back side of the yoke 38. By earthing in the above-mentioned way the losses are kept to a minimum.

FIGS. 6 a and 6 b respectively, show a perspective view respectively and a sectional view of a winding, on a central leg of a three phase transformer with three or more legs, with three earthing points per winding turn according to a fourth embodiment of the present invention. In FIGS. 2–6 the same parts are designated the same numerals in order to make the Figures more clear. A winding 22 ₁, formed from the high voltage cable 10 shown in FIG. 1 is arranged around the central leg 20 of the transformer. Additionally in this case spacer members 24 ₁–24 ₆ are arranged radially, three of which 24 ₁, 24 ₃, 24 ₅ are used to achieve three earthing points per winding turn. The spacer members 24 ₁, 24 ₃, 24 ₅ are directly connected to the earthing elements 30 ₁–30 ₃, of which only two are shown, in the same way as described above in connection with FIGS. 5 a, and 5 b. The three earthing elements 30 ₁–30 ₃ are connected by way of two electric connections 34 ₁, 34 ₂ (cables). The two electric connections 34 ₁, 34 ₂ are drawn into two slots 36 ₁, 36 ₂ arranged in a yoke 38. The two slots 36 ₁, 36 ₂ are arranged such that the cross section area A of the yoke 38 (and thereby the magnetic flux Φ) is divided into three partial areas A₁, A₂, A₃. The two electric connections 34 ₁, 34 ₂ are threaded through slots 36 ₁, 36 ₂ on both sides of the central leg 20 relative to the yoke 38. By earthing in the above-mentioned way the losses in the second semiconducting layer are kept to a minimum.

The principles used above may be used for several earthing points per winding turn. The magnetic flux, Φ, is located in the core with a cross-section area A. This cross-section area A can be divided into a number of partial areas A₁, A₂, . . . , An so that; $A = {\sum\limits_{i = 1}^{n}A_{i}}$

The circumference of a winding turn with length 1 can be divided into a number of parts 1 ₁, 1 ₂, . . . , 1 _(n) so that; $l = {\sum\limits_{i = 1}^{n}l_{i}}$

No extra losses due to earthing are introduced if the electric connections are made in such a way that the ends of every part 1 _(i) are electrically connected so that only the partial area A_(i) is encompassed by a coil having an electric connection 66 _(i) and the segment 1 _(i) and the condition, $\frac{\phi_{i}}{\phi} = \frac{l_{i}}{l}$ is fulfilled, whereby Φ is the magnetic flux in the core and Φ_(i) is the magnetic flux through the partial area A_(i).

If the magnetic flux density is constant throughout the entire cross-section of the core, then Φ=B*A leads to the ratio; $\frac{A_{1}}{A} = \frac{l_{i}}{l}$

The power transformer/inductor in the above shown figures includes an iron core made of a core leg and a yoke. It should however be understood that a power transformer/inductor may also be designed without an iron core (aircored transformer).

The invention is not limited to the shown embodiments since several variations are possible within the frame of the attached patent claims. 

1. A power transformer/inductor comprising: at least one winding of a high-voltage cable, said winding being formed as a winding turn of said power transducer/inductor, said high-voltage cable having layers and an electric conductor, said layers including: a first semiconducting layer arranged around the conductor, an insulating layer arranged around the first semiconducting layer and a second semiconductor layer arranged around the insulating layer, the second semiconducting layer being earthed at or in the vicinity of both ends of each winding and a point between both ends being directly earthed.
 2. A power transformer/inductor according to claim 1, wherein: n points, where n is at least 2, per at least one turn of the at least one winding being directly earthed so that electric connections between the n points divide a magnetic flux in the at least one turn into n parts so as to limit losses produced by earthing.
 3. A power transformer/inductor according to claim 2, wherein: the high-voltage cable having a conductor area in an inclusive range of 80 through 3000 mm² and with an outer cable diameter in an inclusive range of 20 through 250 mm.
 4. A power transformer/inductor according to claim 3, wherein: the at least one winding surrounds a cross-section area, a circumference of each winding turn has a length, the electric connections between the n earthing points divide the cross-section area into n partial areas and divide said length into n segments, each partial area being bordered by a corresponding segment and at least one electric connection, and the electric connections between the n points are distributed in such a way that a ratio of a magnetic flux of any one of the n partial areas and a magnetic flux of the cross-section area is equal to a ratio of a length of a corresponding one of the n segments and the length of the circumference.
 5. A power transformer/inductor according to claim 4, wherein: a magnetic flux density is constant throughout a cross-section of the core, and the electric connections between the n points are distributed in such a way that a ratio of an area of any one of the n partial areas and the area of the cross-section area is equal to the ratio of the length of a corresponding one of the n segments and the length of the circumference.
 6. A power transformer/inductor according to claim 1, further comprising: a magnetizable core.
 7. A power transformer/inductor according to claim 1, wherein the power transformer/inductor is built without a magnetizable core.
 8. A power transformer/inductor according to claim 1, wherein: the at least one winding being flexible and said layers adhere to each other.
 9. A power transformer/inductor according to claim 8, wherein: the layers are made of materials with an elasticity and coefficients of thermal expansion such that during operation changes in volume, due to temperature variations, are able to be absorbed by the elasticity of the materials such that the layers retain their adherence to each other during the temperature variations that appear during operation.
 10. A power transformer/inductor according to claim 9, wherein: the materials in the layers having a high elasticity with an E-module less than 500 MPa.
 11. A power transformer/inductor according to claim 9, wherein: the coefficients of thermal expansion being substantially equal.
 12. A power transformer/inductor according to claim 9, wherein: the layers are adhered to one another with a strength equal to or greater than a strength of a weakest material of the first semiconducting layer, the insulating layer and the second semiconducting layer.
 13. A power transformer/inductor according to claim 12, wherein: each semiconducting layer constitutes substantially an equipotential surface. 